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Finding the Fourth Proportional to 9,970.29, 14,950.44 and 5,586.57

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Solution

The fourth proportional to 9,970.29, 14,950.44 and 5,586.57 is: 8,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.29 : 14,950.44 = 5,586.57 : x
  2. Step 2: Convert to fraction form
    9,970.29/14,950.44 = 5,586.57/x
  3. Step 3: Cross multiply
    9,970.29x = 14,950.44 × 5,586.57
  4. Step 4: Simplify right side
    9,970.29x = 83,521,679.59
  5. Step 5: Solve for x
    x = 83,521,679.59/9,970.29
  6. Step 6: Final answer
    x = 8,377.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.